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lfunc_lfunctions • Show schema
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{'Lhash': '1143995182486120501819397989951', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-1.5381890013208515, 1.5381890013208515], 'a4': [0, 0], 'a5': [-0.5698001867663129, 2.1622506208025642], 'a6': [0, 0], 'a7': [-4.202410503252198, 0], 'a8': [0, 0], 'a9': [0, -1.7320508075688772], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.220851458723894, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.5698001867663129, -2.1622506208025642]]]], 'bad_primes': [2, 5], 'central_character': '1280.1089', 'coefficient_field': 'CDF', 'conductor': 1280, 'conductor_radical': 10, 'conjugate': '658264816164934197040828777952', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.5381890013208515, -1.5381890013208515], [0, -3.0]], [[1.0, 0], [0.5698001867663129, -2.1622506208025642]], [[1.0, 0], [4.202410503252198, 0], [7.0, 0]], [[1.0, 0], [-4.381341395361314, 4.381341395361314], [0, -11.0]], [[1.0, 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{'__RealLiteral__': 0, 'data': '0.902453075224477609667881819638', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.99346024736612021392321323270', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.84581645563392772352836362441', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.220851458723894, 'bad_primes': [2, 5], 'central_character': '80.29', 'conductor': 1280, 'conductor_radical': 10, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1280/2/q/a/1089/2'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-1280-80.29-c1-0-22', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1280-80.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.197006640394088, 'root_angle': -0.021491496675445834, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.902453075224477609667881819638', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1143995182486120501819397989951', 'Lhash_array': ['1143995182486120501819397989951'], 'label': '2-1280-80.29-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1280/2/q/a/1089/2'}